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2150005300 = 2252177871607
BaseRepresentation
bin1000000000100110…
…0111101000110100
312112211121120210221
42000021213220310
513400400132200
6553202024124
7104164513012
oct20011475064
95484546727
102150005300
11a03692893
12500048044
132835787b1
141657858b2
15c8b4391a
hex80267a34

2150005300 has 72 divisors (see below), whose sum is σ = 4949308224. Its totient is φ = 807882240.

The previous prime is 2150005237. The next prime is 2150005301. The reversal of 2150005300 is 35000512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150005301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337097 + ... + 1338703.

It is an arithmetic number, because the mean of its divisors is an integer number (68740392).

Almost surely, 22150005300 is an apocalyptic number.

2150005300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474654112).

2150005300 is an abundant number, since it is smaller than the sum of its proper divisors (2799302924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2150005300 is a wasteful number, since it uses less digits than its factorization.

2150005300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 2150005300 is about 46368.1496288131. The cubic root of 2150005300 is about 1290.6639412179.

Adding to 2150005300 its reverse (35000512), we get a palindrome (2185005812).

The spelling of 2150005300 in words is "two billion, one hundred fifty million, five thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 787 850 1574 1607 1700 3148 3214 3935 6428 7870 8035 13379 15740 16070 19675 26758 27319 32140 39350 40175 53516 54638 66895 78700 80350 109276 133790 136595 160700 267580 273190 334475 546380 668950 682975 1264709 1337900 1365950 2529418 2731900 5058836 6323545 12647090 21500053 25294180 31617725 43000106 63235450 86000212 107500265 126470900 215000530 430001060 537501325 1075002650 2150005300